Skip to main content
Log in

On the possibility of control of interconnected mechanical and thermal processes in nonlinear temperature-perturbed dynamic systems

  • Control Systems of Moving Objects
  • Published:
Journal of Computer and Systems Sciences International Aims and scope

Abstract

The possibility of control of interconnected mechanical and thermal processes in nonlinear perturbed dynamic systems is considered both for irregular motions and parametric temperature perturbations. The conditions on system parameters and temperature control providing the stability of stationary points are obtained. It is shown that the choice of the parameters of thermal and mechanical subsystems and the introduction of the mechanical control subsystem proportional to the temperature gradient between its elements into the feedback can provide both regularization of oscillations and control of oscillations at parametric temperature perturbations. Computer calculations were performed, quantitative estimates which prove the qualitative analysis of constructed mathematical models were obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. V. Butenin, Yu. I. Neimark, and N. A. Fufaev, Introduction to the Theory of Nonlinear Oscillations (Nauka, Moscow, 1987) [in Russian].

    MATH  Google Scholar 

  2. V. F. Zhuravlev and D. M. Klimov, Applied Methods in Oscillation Theory (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  3. V. E. Dzhashitov and V. M. Pankratov, Detectors, Devices, and Systems of Aerospace and Marine Instrument Engineering under Thermal Influences, ed. by V. G. Peshekhonov (GNTa TsNII “Elektropribor”, St. Petersburg, 2005) [in Russian].

    Google Scholar 

  4. G. N. Dul’nev, V. G. Parfenov, and A. V. Sigalov, Methods for Calculation of Device Thermal Regime (Radio i Svyaz’, Moscow, 1990) [in Russian].

    Google Scholar 

  5. V. E. Dzhashitov and V. M. Pankratov, “Perturbation by Nonstationary Temperature Field of Motion of a Body with One Fixed Point”, Izv. Ross. Akad. Nauk, Mekh. Tverd.Tela, no. 4, 21–24; (1997).

  6. V. E. Dzhashitov, V. M. Pankratov and Yu. V. Chebotarevskii, “Method of Thermal Shadows for Calculation and Visualization of Temperature Fields of Devices and Units of Aerospace Engineering with Account of Dynamics of Relative Motion of Structural Elements”, Aviakosm. Priborostr., no. 7, 10–17 (2003).

  7. H.G. Schuster, Deterministic Chaos. An Introduction (Wiley-VCH, 2004; Mir, Moscow, 1988).

    Google Scholar 

  8. V. I. Boevkin, Yu. T. Gurevich, Yu. N. Pavlov, et al., Satellite Orientation in Gravitational and Magnetic Fields (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.E. Dzhashitov, V.M. Pankratov, 2009, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2009, No. 3, pp. 157–164.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dzhashitov, V.E., Pankratov, V.M. On the possibility of control of interconnected mechanical and thermal processes in nonlinear temperature-perturbed dynamic systems. J. Comput. Syst. Sci. Int. 48, 481–488 (2009). https://doi.org/10.1134/S1064230709030149

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064230709030149

Keywords

Navigation